| 摘要: |
| 本文主要研究紧算子在Vlasov-Maxwell-Boltzmann方程组中的应用的问题.利用紧算子的定义，获得了描述不同质量两粒子模型的线性Boltzmann算子的一个紧性结果. |
| 关键词: 赋范空间 紧算子 Vlasov-Maxwell-Boltzmann方程组 Boltzmann碰撞算子 |
| DOI： |
| 分类号:O175.4 |
| 基金项目:国家自然科学基金资助（11471142）. |
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| A PROOF OF COMPACT OPERATOR OF THE TWO SPECIES VLASOV-MAXWELL-BOLTZMANN EQUATIONS |
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LI Zeng-ming, HUANG Li-rong
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Department of Mathematics, School of Information Science and Technology, Jinan University, Guangzhou 510632, China
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| Abstract: |
| In this paper, we mainly investigate an application of compact operators to the Vlasov-Maxwell-Boltzmann equations. By using the definition of compact operators, we prove a compactness result of the linear Boltzmann operator of a two species model with different mass. |
| Key words: normed space compact operator Vlasov-Maxwell-Boltzmann equations Boltzmann collision operator |
